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3 years ago

What is the length of BD?

Mathematics

2 answers:

Mademuasel [1]3 years ago

7 0

Answer:

From -6 to positive 1 the length is 7

Step-by-step explanation:

you still add'em.

Vladimir [108]3 years ago

7 0

Answer:

length of BD is 18

just count on the number line and ×2 because it is counting on by 2

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Three pipes A, B and C take 24, 36 and 32 hours to fill a pool, respectively. How long would it take the three pipes to fill the

Murrr4er [49]

Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = $\frac{288}{24} = 12\ units$

Total units filled by pipe B in one hour = $\frac{288}{36} = 8\ units$

Total units filled by pipe C in one hour = $\frac{288}{32} = 9\ units$

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = $12\times 3 =36\ units$

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = $\frac{232}{29} = 8\ hours$

Total time taken = 4 + 8 = <em>12 hours</em>

8 0

3 years ago

HELPPPPPPPPP!!!!!!!!!!!!!!!!

vampirchik [111]

Answer:

they are not similar. their one angle is only equal

4 0

3 years ago

Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth

antoniya [11.8K]

Answer:

The perimeter of the polygon is $P=14.47\ units$

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

$d=\sqrt{(0-3)^{2}+(3+1)^{2}}$

$d=\sqrt{25}$

$dXY=5\ units$

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

$d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}$

$d=\sqrt{20}$

$dYZ=4.47\ units$

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

$d=\sqrt{(-2-3)^{2}+(-1+1)^{2}}$

$d=\sqrt{25}$

$dXZ=5\ units$

step 4

Find the perimeter

P=XY+YZ+XZ

$P=5+4.47+5=14.47\ units$

5 0

3 years ago

3/4(n+3)=9 how do I find n

katrin [286]

It's one of the ways to count it:

3/4 (n + 3) = 9
3/4n + 3/4 * 3 = 9
3/4n + 9/4 = 9
3/4n + 2 1/4 = 9 / - 2 1/4 (both sides)
3/4n = 6 3/4 / : 3/4 (both sides)
n = 9

8 0

3 years ago

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You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? *

leonid [27]

Answer:

1/12

Step-by-step explanation:

First, you should already be able to understand that the only number less than 2 on this cube is 1. So, you can understand that there is a 1/6 chance because there is a total of 6 numbers, and out of those, only 1 of those are your answer.

Then, you will note that a coin only has 2 sides, so there is a 50/50 chance of getting heads, or 50%. Now, you will turn that into a fraction, which is 1/2.

Next, you will multiply to make the denominators the same. And what you do to the denominator must happen to the numerator. (1/6 * 2--> 1/12 and 1/2 * 6 = 1/12)

Hope this helps! :)

7 0

3 years ago

Read 2 more answers